0436388 20240103205213.320141130235959.9 84938212488 000358588600008 10.1007/s11225-014-9594-8 9 s. cav_un_epca*02921900039-32151034 (2015)815-823Springer abstract algebraic logic consequence relations natural extensions transfer theorems cav_un_auth*0100737 Cintula Petr UIVT-O Oddělení teoretické informatiky Department of Theoretical Computer Science Department of Theoretical Computer Science Ústav informatiky AV ČR, v. v. i. cav_un_auth*0293476 Noguera Carles UTIA-B Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Department of Decision Making Theory K Ústav teorie informace a automatizace AV ČR, v. v. i. GA13-14654S GA ČR CZ cav_un_auth*0292719 247584 EC XE cav_un_auth*0323440 Transfer theorems are central results in abstract algebraic logic that allow to generalize properties of the lattice of theories of a logic to any algebraic model and its lattice of filters. Their proofs sometimes require the existence of a natural extension of the logic to a bigger set of variables. Constructions of such extensions have been proposed in particular settings in the literature. In this paper we show that these constructions need not always work and propose a wider setting (including all finitary logics and those with countable language) in which they can still be used. BA 2016 4 A R 4a 4r 20231122140647.2 RVO:67985807 RVO:67985556 http://hdl.handle.net/11104/0240134 S n.a. Article Mathematics|Logic|Philosophy MATHEMATICS|LOGIC 0.574 0.037 999.9 0.0013 0.31 603 1.016 Q1 0.590 54 Q1 20.915 73.5 Q4 Q2 84.091 2015 Soubory v repozitáři: a0436388.pdf, 0436388.pdf 84938212488 SCOPUS 000358588600008 WOS cav_un_epca*0292190 Studia Logica 0039-3215 1572-8730 Roč. 103 č. 4 2015 815 823 Springer